Exact Expectation Analysis of the LMS Adaptive Filter

IEEE Transactions on Signal Processing

Volumn 43, Issue 12, 1995, Pages 2863-2871

  Douglas, Scott C ^a   Pan, Weimin ^b  

^a UNIVERSITY OF UTAH   (United States)

^b Iomega Corp   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; COMPUTER SOFTWARE; CONVERGENCE OF NUMERICAL METHODS; DIGITAL FILTERS; RECURSIVE FUNCTIONS;

LEAST MEAN SQUARE ADAPTIVE FILTER; SOFTWARE PACKAGE MAPLE; STEP SIZE MEAN SQUARE STABILITY BOUND;

ADAPTIVE FILTERING;

EID: 0029486018     PISSN: 1053587X     EISSN: 19410476     Source Type: Journal    
DOI: 10.1109/78.476430     Document Type: Article

References (12)

1. B. Widrow et at., “Stationary and nonstationary learning characteristics of the LMS adaptive filter,” Proc. IEEE, vol. 64, no. 8, pp. 1151-1162, Aug. 1976.
2. J. E. Mazo, “On the independence theory of equalizer convergence,” Bell Sys. Tech. J., vol. 58, no. 3, pp. 963-993, May-June 1979.
3. D. C. Farden, “Tracking properties of adaptive signal processing algorithms,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, no. 3, pp. 439-446, June 1981.
4. O. Macchi and E. Eweda, “Second-order convergence analysis of stochastic adaptive linear filtering,” IEEE Trans. Automat. Contr., vol. AC-28, no. 1, pp. 76-85, Jan. 1983.
5. W. A. Gardner, “Learning characteristics of stochastic-gradient-descent algorithms: A general study, analysis, and critique,” Signal Processing, vol. 6, no. 2, pp. 113-133, Apr. 1984.
6. A. Feuer and E. Weinstein, “Convergence analysis of LMS filters with uncorrelated Gaussian data,” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, no. 1, pp. 222-230, Feb. 1985.
7. S. Florian and A. Feuer, “Performance analysis of the LMS algorithm with a tapped delay line (two-dimensional case),” IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-34, no. 6, pp. 1542-1549, Dec. 1986.
8. S. C Douglas, “Exact expectation analysis of the sign-data LMS algorithm for i.i.d. input data,” in Proc. 26th Ann. Asilomar Conf. Signals, Syst., Comput., vol. 1, Oct. 1992, pp. 566-570.
9. S. C Douglas, “Exact expectation analysis of the LMS adaptive filter for correlated Gaussian input data,” in Proc. Int. Conf. Acoust., Speech, Signal Processing, vol. III, Apr. 1993, pp. 519-522.
10. G. H. Golub and C. F. Van Loan, Matrix Computations, 2nd. ed. Baltimore, MD: Johns Hopkin Univ. Press, 1989.
11. J. H. Wilkinson, The Algebraic Eigenvalue Problem. Oxford, UK: Claredon, 1965.
12. D. G. Luenberger, Linear and Nonlinear Programming, 2nd. ed. Reading, MA: Addison-Wesley, 1984.